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Finite-gap attractors and transition processes of the shock-wave type in integrable systems

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Abstract

An attractor interpretation of finite-gap solutions in integrable KdV-type systems is suggested. Certain shock-wave problems in these systems are discussed. Bibliography: 25 titles.

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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 199, 1992, pp. 25–36.

Translated by R. F. Bikbaev.

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Bikbaev, R.F. Finite-gap attractors and transition processes of the shock-wave type in integrable systems. J Math Sci 77, 3033–3041 (1995). https://doi.org/10.1007/BF02367229

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  • DOI: https://doi.org/10.1007/BF02367229

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